A piece of wire of resistance 20 ohm


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A piece of wire of resistance 20 ohm is drawn out as that its length is increased to twice its original length .calculate new resistance.

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Given resistance = R1 = 20 ohm


Let length of the wire = L


Therefore, new length of the wire = 2L


Since, when the length is doubled, cross sectional area of the wire becomes half.


Therefore, new resistance = R = 2L/ (A/2) =4L/A


R = 4 x 20 (since, L/A = resistance)


R = 80 ohm.


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